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Finding the Fourth Proportional to 6,318.02, 9,524.48 and 5,447.28

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Solution

The fourth proportional to 6,318.02, 9,524.48 and 5,447.28 is: 8,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.02 : 9,524.48 = 5,447.28 : x
  2. Step 2: Convert to fraction form
    6,318.02/9,524.48 = 5,447.28/x
  3. Step 3: Cross multiply
    6,318.02x = 9,524.48 × 5,447.28
  4. Step 4: Simplify right side
    6,318.02x = 51,882,509.41
  5. Step 5: Solve for x
    x = 51,882,509.41/6,318.02
  6. Step 6: Final answer
    x = 8,211.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.